Results 231 to 240 of about 2,588,745 (274)

An explicit form for love wave velocity

International Journal of Engineering Science, 1994
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Karayannakis, D., Sotiropoulos, D.
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Explicit Form for ψ (Tζ)

1986
In order to use Theorem 1 for the explicit determination of the allowed LR-sequences for trapezoidal curves, we now introduce a notation that allows us to give explicitly every LR-sequence and the corresponding function ψ (Tζ). Let α denote the (k+1)-tuple α = (α0,α1,…,αk), each αi e z+, and k e Z. We define the set Ρ of α-sequences by $$P = \left\{
J. D. Louck, N. Metropolis
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Elliptic dark states: Explicit invariant form

Journal of Experimental and Theoretical Physics, 2000
An analysis is made of coherent population trapping as a result of resonant interaction of elliptically polarized light with atoms whose energy levels are degenerate with respect to the projection of the angular momentum and are coupled by a dipole transition.
A. V. Taichenachev, A. M. Tumaikin, V. I. Yudin   +2 more
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EXPLICIT FORM OF THE LAW OF RECIPROCITY

Mathematics of the USSR-Izvestiya, 1979
A pairing in the multiplicative group of a local field (a finite extension of a p-adic number field) is defined in terms of the expansion of elements into series in a local uniformizing parameter. The main properties of this pairing are proved: bilinearity, skew-symmetry, invariance with respect to choice of local uniformizing parameter, and ...
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An Explicit Form For System Mean Life

IEEE Transactions on Reliability, 1977
In the paper a formula is derived from which the mean life of nonrepairable systems (whose components have constant failure rates) can be written down by inspecting the list of system working states. The formula is simple to use and has an important property in that it leads to an expression whose terms all have the same (positive) sign.
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The Bianchi Identities in an Explicit Form

Archive for Rational Mechanics and Analysis, 1988
Let v(x) be a given vector field in Euclidean 3-space \(E_ 3\), while s(x) is the unit vector tangent to the vector-lines of v, and n is the unit principal normal to this vector-line. The unit bi-normal is \(b=s\times n\). The components of grad s, grad n, grad b on the basis (s,n,b) are connected by nine compatibility conditions contained in the ...
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Explicit forms for certain Hermite approximations

BIT, 1973
The Hermite polynomial approximation in which function values and the first few derivatives of a given function are matched at two points is given in an explicit form and an error term is deduced. These results are extended to two dimensions.
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Explicit closed forms for parametric integrals

International Journal of Mathematical Education in Science and Technology, 2004
Closed forms are computed for parametric integrals, generally using induction formulas. It is shown that these integrals can be core activities, mixing hand-work, computations with a computer algebra system and experimental mathematics with an interactive website.
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